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arXiv · 1107.5533

Geometrically relating momentum cut-off and dimensional regularization

Susama Agarwala
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Abstract

The $β$ function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regularization scheme. I explicitly relate the $β$-functions of momentum cut-off regularization and dimensional regularization on scalar field theories by a gauge transformation using the Hopf algebras of the Feynman diagrams of the theories.

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Susama Agarwala. 2012-11-19. Geometrically relating momentum cut-off and dimensional regularization. https://doi.org/10.1142/s0219887812500818

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